Integrated Management Of Projects And Systems - 990 Words

1. Abstract Software Development has progressed far in recent years, with Agile software development methodologies contributing to the success of projects and customer satisfaction. This feasibility study will examine the potential implications involved with implementing the Integrated Management of Projects and Systems’ (IMPS) system using an Agile method. The system will assist Software Engineers in Communications, Requirements Gathering, Quality Control, and project management. The IMPS system aims to solve remote communications issues and technical complexity barriers faced by non-technical stakeholders involved in software projects, resulting in decreased operating costs and increased productivity. The system will be introduced to the organization gradually as it is development, with a minimum of disruption. 2. 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Econmet Paper Free Essays

Christian Benedict B. ARGA 11027614 AE-FIN A Study on the Effect of Inflation, Net Income, and Energy Use to the Fossil Fuel Consumption in the Philippines An Empirical Paper Presented to The Faculty of the School of Economics De La Salle University In Partial Fulfillment of the Requirements in ECONMET Submitted by: Christian Benedict B. Arga 11027614 Submitted to: Dr. We will write a custom essay sample on Econmet Paper or any similar topic only for you Order Now Cesar Rufino December 14, 2012 1 Christian Benedict B. ARGA 11027614 AE-FIN Table of Contents Introduction I. II. III. IV. Background of the Study Statement of the Problem Objectives of the Study Scope and Limitations Review of Related Literature I. II. III. Inflation Net Income Energy Use Operational Framework I. II. Variable Descriptions A-Priori Expectations Methodology I. II. Data Gathered Model Specifications Empirical Results and Interpretation I. II. Variable Analysis Critical Assumptions 2 Christian Benedict B. ARGA 11027614 AE-FIN 1. Multicollinearity 2. Homoscedasticity 3. Non-autocorrelation Remedial Measures and Adjusted Estimated Econometric Model I. II. Remedial Measures Adjusted Econometric Model Conclusions and Recommendations Bibliography Data Presentation 3 Christian Benedict B. ARGA 11027614 AE-FIN Introduction I. Background of the Study In this empirical paper, the researcher aims to know the effects of net income, inflation and energy use on the consumption of fossil fuels in the country. This project will allow the student to use various econometric concepts and a variety of tests to determine the factors that will allow him a practical approach on the subject. Fossil fuel as defined by Encyclopedia Britannica is â€Å"any of a class of materials of biological origin occurring within the Earth’s crust that can be used as a source of energy. It is a hydrocarbon containing natural resource that is not acquired from plants or animals. Fossil fuel is a general term for buried combustible geologic deposits of organic materials, formed from decayed plants and animals that have been converted to crude oil, coal, natural gas, or heavy oils by exposure to heat and pressure in the earth’s crust over hundreds of millions of years. The depletion of fo ssil fuel has been an underlying problem in our economy. Unlike energy coming from hydroelectric power plants or windmills, the energy acquired from fossil fuel cannot be renewed and is gone forever. Christian Benedict B. ARGA 11027614 AE-FIN II. Statement of the Problem As said earlier, fossil fuel is a non-renewable energy source. All countries in the world are trying their best to conserve their respective resources. The problem in this empirical project is that whether various factors such as inflation, net income, and energy use of the country has an effect on its consumption of fossil fuels. III. Objectives of the Study There are various objectives to this study. First is to find out whether inflation, net income, and energy use has an effect on a country’s consumption on fossil fuels. Second, is to educate the readers of this paper which of the independent variables affects the consumption of fossil fuel the most. And lastly, this paper aims to apply the various lessons learned in class to show the effects of the chosen variables on the fossil fuel consumption. 5 Christian Benedict B. ARGA 11027614 AE-FIN IV. Scope and Limitations The data gathered that was used in this project was limited and only allowed the researcher to gather up to 35 observations because some variables lack values for previous years. Because of this reason, the sample size is relatively small and cannot be compared to other countries for reference. Review of Related Literature I. Inflation Inflation is defined by Investopedia, as the rate at which the general level of prices for goods and services is rising, and, subsequently, purchasing power is falling. Central banks attempt to stop severe inflation, along with severe deflation, in an attempt to keep the excessive growth of prices to a minimum. Inflation has affected the rate of many products at which they are consumed. For this project, we will find out if inflation has an effect on the consumption of fossil fuels. We want to find out if people would 6 Christian Benedict B. ARGA 11027614 AE-FIN consume more or less if the prices of fossil fuel has been affected by inflation. II. Net Income Net income, as learned in the student’s business subjects, is the money left after subtracting expenses and other deductibles like taxes and interest to the total revenue. We will observe if net income has an effect on fossil fuel consumption. Maybe, a higher net income may lead the consumer to consume more or perhaps, a lower net income may get the consumer to find other sources of energy which may be cheaper than fossil fuel. III. Energy Use Fossil fuel burning powers our vehicles and industries, heats and cools our buildings, and runs appliances. It also produces electricity that we use for all sorts of purposes, such as lights and computers. This is quite obvious because as we consume more energy, the more fossil fuel we burn and vice versa. 7 Christian Benedict B. ARGA 11027614 AE-FIN Operational Framework I. Variable Description The model will contain the following components, the dependent variable and the independent variables. The independent variables are those that are exogenous in nature. It is not affected by any variable contained within the model. The dependent variable, on the other hand, is endogenous in nature. It is affected by all the independent variables in the model. For this project, there will be three independent variables namely; inflation, netincome, and energy while the dependent variable will be fossil. Table 1 : Variable Description This is the independent variable. This is the fossil fossil fuel consumption of the Philippines from the years 1977 until 2011. It is expressed in percentage. 8 Christian Benedict B. ARGA 11027614 AE-FIN This is a dependent This is GDP variable. measured inflation by the deflator from 1977 up to 2011. This variable is expressed in the annual percentage. This is a dependent is the variable. This yearly total income of our country from 1977 until netincome 2011. We can see that the data has negative values. This is due to the data being in BoP expressed in US$. This is a dependent is the variable. energy yearly This energy of from the 1977 consumption Philippines until 2011. This variable 9 Christian Benedict B. ARGA 11027614 AE-FIN is expressed in kilotonnes. II. A-Priori Expectations The A-Priori is a smart justification before actual testing and analysis is done with the data. Given that the fossil fuel onsumption is the dependent/endogenous variable, we will take a look at the relationship of this with the independent/exogenous variables. This will be presented in the table below: Table 2: A-Priori Expectations Endogenous Variable: fossil Exogenous Variable Relationship Reason As inflation goes up, the prices of fossil fuel goes up too therefore, the consumption of fossil fuel w ill be reduced. People will try to find cheaper sources of energy and maybe renewable ones are a good try. inflation negative 10 Christian Benedict B. ARGA 11027614 AE-FIN netincome positive energy positive As netincome increases, there will be more money to spend therefore it may affect the consumption of fossil fuel positively. People will tend to buy more goods like food which requires electricity to cook. As energy consumption goes up, there will be more and more fossil fuel that will be consumed. Most of the world’s energy source comes from fossil fuels. Therefore, as people tend to consume more energy, more fossil fuel is going to be burned up. Methodology I. Data Gathered The data gathered has been acquired from the databank of the World Bank’s website. The data is from the Philippines dating back from 1977 until 2011. There are a total of 35 observations. This is due to the reason that some of the variables lack data from 1976 and further back. So to keep the consistency of this project, only 35 observations per variable has been used. This is to ensure that the 11 Christian Benedict B. ARGA 11027614 AE-FIN data is unbiased and comparable to each other. Presented in the table below is the data summary from Stata12: II. Model Specifications The regression model to be formed will be based on intuition, economic theories, conducted studies and research materials related to the objectives of this paper. The independent variables chosen will all be affecting the dependent variable, profits, proportionately; therefore, it is appropriate to use the lin-lin model or the linear-linear model. The estimated econometric model based on the A-priori expectations would look like this: fossil=? 1 +? 2 inflation+? 3 netincome+? 4 energy+U i 12 Christian Benedict B. ARGA 11027614 AE-FIN Empirical Results and Interpretation I. Estimated Econometric Model The summarization table earlier confirms that there are truly a total of thirty-five observations for each variable. The data can therefore be regressed and is comparable for there are equal numbers of observations per variable included in the estimated model. However, in order to determine the individual contribution of each variable, the values should be in terms of the same unit of measurement. The model has been transformed into the Log-Log model so that the data is comparable to each other. Stata12 generated the missing values. Using the Ordinary Least Squares regression functionality of Stata12, the following table has been generated which will lead us to acquire our estimated econometric model: 13 Christian Benedict B. ARGA 11027614 AE-FIN The estimated model is now: fossil=-2. 324895. 0168192inflation+. 0182493netincome+. 5711335energy+U i From doing the Ordinary Least Squares regression, we are actually looking at the p-values and the r-squared values. The pvalue will tell us the significance of the variable while the r-squared will tell us the explanatory ability. The significant parameters in the data are the netincome, energy, and the constant. We could say that these parameters are significant because when the p-value generated by Stata12 is generated by two, the p value falls below the required value of 0. 05. The r-squared of the data is at 0. 349 or 93. 49%. This tells us that this data explains that the data is a good fit for the real world because it explains 93. 49% of the real world model. II. Variable Analysis Given the independent variable, fossil, and the independent variables, it is given that for every 1 unit increase in inflation, fossil fuel consumption would go down by 0. 0168912%. This give s inflation a negative relationship with fossil fuel consumption and 14 Christian Benedict B. ARGA 11027614 AE-FIN thus matches with our A-priori expectation. Next, for every 1 unit increase in net income, fossil fuel consumption will go up by 0. 182493%. This satisfies our A-priori expectation that net income has a positive relationship with fossil fuel consumption. Energy is also proven to give a positive relationship with fossil fuel consumption. This is given by its coefficient of 0. 5711335. So this means that for every 1 unit increase in energy use, fossil fuel consumption goes up by 0. 5711335% which also satisfies our Apriori expectation. Now for the constant, which has a coefficient of 2. 324895, tells us that if nothing happens with inflation, net income, and energy use, fossil fuel consumption still goes down by 2. 324895%. Although it is a fantasy that there will nothing happen with inflation, net income, and energy, there may be missing factors which were not included in this project. III. Critical Assumptions Classical linear regression models (CLRM) have three critical assumptions ? non-multicollinearity, homoscedasticity and nonautocorrelation. Violations of these will each give up an unfavorable, unreliable and inaccurate outcome for the estimated model. It is for these reasons that the above interpretation of the 15 Christian Benedict B. ARGA 11027614 AE-FIN model could not be used yet to conclude anything regarding the consumption of fossil fuel. . Multicollinearity, as defined by Penn State University, is an event whenever two or more of the predictors in a regression model are moderately or highly correlated. To test for multicollinearity, the Variable-Inflating Factor will be used. Shown below is the result generated by Stata12: There is multicollinearity within the model if the Mean Variance -Inflating Factor is greater than 10. From the result generated by Stata12, the Mean VIF is 1. 08. This value is very far from 10 therefore, the model does not possess the problem for multicollinearity. 2. Homoscedasticity Homoscedasticity means that the variance around the regression line is constant for all X values. Heteroscedasticity are most commonly present in cross-section data. When 16 Christian Benedict B. ARGA 11027614 AE-FIN heteroscedasticity is present, OLS is no longer the best linear unbiased estimate; therefore, violation of this assumption is a far graver problem than the violation of non-multicollinearity. The researcher used Stata12 to test for homoscedasticity. Using the variables above for the test, Stata12 gave the result as follows: Given that our H o : P-Value (one-tailed) 0. 5: constant variance and H A : P-Value (one-tailed) 0. 05: non-constant variance, Stata12 yielded a p-value of 0. 3693. Because the pvalue that was acquired is greater than 0. 05, we accept the null hypothesis which states that our OLS has a constant variance and thus, is not suffering from heteroscedasticity. 3. Non-autocorrelation Another critical assumption of the CLRM is non- autocorr elation. Autocorrelation is the correlation between the past and present value of the data. This violation is commonly 17 Christian Benedict B. ARGA 11027614 AE-FIN present in time series data because of the sluggishness of economic variables. The presence of autocorrelation will result to OLS not being the best linear unbiased estimate, although it is still unbiased, constant, asymptotically normal and sufficient. R–squared are overestimated, t-values F-values and x 2 are all wrong, all leading to counter-intuitive signs. The root cause of all these errors will be coming from the standard errors being underestimated. This will result to wrong policy implementation and misleading inferences. For this, the researcher used the Breusch-Godfrey LM test for autocorrelation. The result can be seen below: Given that our H o : P-Value (one-tailed) 0. 5: no serial correlation and H A : P-Value (one-tailed) 0. 05: with serial correlation, Stata12 yielded a p-value of 0. 1119 which is greater than 0. 05 thus, we accept the null hypothesis that there is no serial correlation in the model. Although the data has been tested through the BreuschGodfrey LM test for autocorrelation, we still need to test it 18 Christian Benedict B. ARGA 11027614 AE-FIN furthermore but now through the Durbin-Watson d statistic test. The Breusch-Godfrey test has been done first because it is preferred by statisticians for auto correlation testing. Now for the results of the Durbin-Watson: The result for the Durbin-Watson yielded a value of 0. 6512995. As learned through the course, autocorrelation exists if the result is close to 0 or 4. The model possesses positive autocorrelation if the yielded d is close to 0. On the other hand, if d is closer to 4, the model experiences a negative autocorrelation. For the model to be autocorrelation free, the yielded d must be closer to 2 than 0 or 4. In this case, Stata12 returned a result which is closer to 0 which tells us that autocorrelation exists in the model. Because the assumption of no autocorrelation was violated, we must correct this by implementing remedial measures. 19 Christian Benedict B. ARGA 11027614 AE-FIN Remedial Measures and Adjusted Estimated Econometric Model I. Remedial Measure Because the model was tested with positive autocorrelation above, a remedial measure is needed to be implemented to correct this. For this problem, it will be corrected through the use of the Prais-Winsten estimation. It is a procedure meant to take care of the serial correlation of type AR(1) in a linear model. It is a modification of Cochrane–Orcutt estimation in the sense that it does not lose the first observation and leads to more efficiency as a result. Stata12 could also apply this method whenever autocorrelation is detected through the Durbin-Watson testing. The results are as follows: 20 Christian Benedict B. ARGA 11027614 AE-FIN After the application of the Prais-Winsten estimation, we acquired a transformed Durbin-Watson statistic of 1. 206692. This value is closer to 2 compared to the original DW statistic of 0. 651299. Having this result, we can now safely say that the model now is autocorrelation free. II. Adjusted Econometric Model With the execution of the Prais-Winsten, the r-squared and the adjusted r-squared has changed together with the coefficients of the variables. With the transformed r-squared of 0. 9994, it has improved from the previous r-squared of 0. 9349. This means that the model now explains 99. 94% of the real world variance. Because of the Prais-Winsten transformation, we acquired new coefficients and thus we have our adjusted econometric model: fossil=-2. 956624. 0344159inflation+. 0145774netincome+. 6412211energy+U i The same concept still applies with our previous econometric model. The relationships between the dependent variable and the independent variables haven’t changed so that means that it still meets our A-priori expectation. 21 Christian Benedict B. ARGA 11027614 AE-FIN Conclusion and Recommendations Now that the model with fossil fuel consumption as its dependent variable; inflation, net income, and energy use as its independent variables, has now been empirically tested and that the concepts and skills that have been learned in class have been applied, it is now time to supply in the conclusions and recommendations about the subject matter. Fossil fuel as said earlier is a non-renewable source of energy. Once that it has been burned up, it can never be acquired again. Unlike hydroelectric and wind energy sources, these are easily renewable through the resources provided by Mother Nature. Also, the burning of fossil fuel damages the ozone layer and increases the amount of greenhouse gases. It has been proven earlier that the A-priori expectations have been met. First I’d like to discuss the relationship of inflation and fossil fuel consumption. It is said above that fossil fuel consumption and inflation have a negative relationship. This means that whenever inflation goes up, the consumption of fossil fuel goes down. If the global economy wants to reduce the consumption of this non-renewable energy source and encourage people to turn to other sources of energy other than this, taking advantage of the inflation may be a good idea. If fossil fuels’ prices like oil and coal have gone up due to the inflation, people may find it practical to switch to other sources of energy like solar, wind, or geothermal heat. 22 Christian Benedict B. ARGA 11027614 AE-FIN Fossil fuel consumption and net income has been proven to have a positive relationship. This is because whenever the net income of a household increases, they can afford more goods such as food and electric dependent devices which consumes more fossil fuel. If the net income on the other hand goes down, the consumption of fossil fuel also goes down. This is due to the fact that people tend to consume less when their income is lower. They buy less food and other goods which consume fossil fuel to be utilized. Energy use also has a positive relationship with the consumption of fossil fuel. Today, very few have switched to the use of renewable energy. There are very few houses that have solar panels to power up their household. Some industrial organizations have windmills and large solar panels that power up their buildings and machineries. But even though these alternative sources are more eco-friendly, it comes with a very large price tag. It is very expensive to switch to renewable energy sources than just plainly using fossil fuel for power. So this means that the more a household or organization use energy, more and more fossil fuel is burned and consumed. Fossil fuel is the most reliable source of energy today. If for example, a certain country would want to reduce its fossil fuel consumption, they can implement laws like to increase the taxes on fossil fuel so that people would be forced to switch to other energy resources. The use of fossil 23 Christian Benedict B. ARGA 11027614 AE-FIN fuel hasn’t really been a win for our planet. Burning fossil fuels release greenhouse gases which lead to the depletion of the ozone layer. Aside from this, fossil fuel may someday be burnt out completely. Embracing other sources of energy which may be safe for the environment may be a good thing because fossil fuel will not last for a very, very long time. 4 Christian Benedict B. ARGA 11027614 AE-FIN Bibliography Gujarati, D. , Porter, D. (2009). Basic econometrics. Singapore: McGrawHill/Irwin. Damassa, T. (n. d. ). Fossil Fuel Consumption and its Implications | World Resources Institute. World Resources Institute | Global Warming, Climate Change, Ecosystems, Sustainable Markets, Good 2, Governance 2012, the from Environment. Retrieved December http://www. wri. org/stories/2006/11/fossil-fuel-consumption-and-itsimplications Data | The World Bank. (n. d. ). Data | The World Bank. Retrieved November 30, 2012, from http://data. worldbank. rg/ Fossil Fuels and Energy Use. (n. d. ). B. C. Air Quality – Home. Retrieved December 9, 2012, from http://www. bcairquality. ca/101/fossil-fuels. html Fossil | Department of Energy. (n. d. ). Energy. gov | Department of Energy. Retrieved December 5, 2012, from http://energy. gov/science- innovation/energy-sources/fossil 25 Christian Benedict B. ARGA 11027614 AE-FIN Data Presentation Year 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 Fossil fuel energy consumption (% of total) 55. 31347732 54. 8931033 53. 78592188 49. 29623659 45. 48943701 43. 37568802 44. 38229089 35. 31123038 35. 76117547 36. 35431158 40. 26445038 41. 633 11248 42. 63808088 43. 43920259 44. 68749999 48. 64714575 49. 75059198 52. 18039963 55. 84399353 56. 88793876 58. 26781808 56. 4225028 53. 69666356 53. 57196521 54. 87855853 56. 41898661 57. 72775356 56. 78790726 58. 16262043 56. 49811715 56. 71572428 57. 1050697 Inflation, GDP deflator (annual %) 8. 272875998 9. 331739787 14. 83954359 14. 24994909 11. 70313893 8. 701224356 14. 22188106 53. 3359576 17. 63285991 2. 952878059 7. 4981921 9. 647022877 9. 033063566 12. 97128127 16. 268799 7. 932658326 6. 832158129 9. 991314599 7. 550870238 7. 661037838 6. 224392022 22. 38172301 6. 585053049 5. 709799946 5. 54947782 4. 162229818 3. 201335984 5. 516871 5. 828020679 4. 949030524 3. 090323839 7. 549059634 Net income (BoP, current US$) -125000000 -118000000 -206000000 -420000000 -503000000 -1021000000 -836000000 -1449000000 -1300000000 -1301000000 -1190000000 -1185000000 -1349000000 -872000000 -500000000 445000000 924000000 1850000000 3662000000 3282000000 4681000000 3769000000 -1062000000 -3 0000000 -57000000 -430000000 -287000000 -74000000 -298000000 -1261000000 -899000000 105000000 26 Energy use (kT) 20161. 985 20500. 008 21698. 546 22748. 27 22856. 792 23462. 731 25453. 089 22902. 456 24008. 288 24091. 214 25209. 039 26593. 306 27975. 579 28891. 831 28878. 767 30215. 561 30233. 992 32369. 158 33981. 925 35217. 379 37071. 776 38075. 904 39044. 627 40423. 602 38777. 981 39300. 931 39385. 191 39152. 811 39178. 35 38848. 861 38142. 364 39605. 368 Christian Benedict B. ARGA 2009 2010 2011 57. 04278229 57. 04278229 57. 04278229 2. 773246711 4. 222388865 4. 246089114 11027614 -193000000 505000000 1293000000 38842. 497 38842. 497 38842. 497 AE-FIN 27 How to cite Econmet Paper, Essay examples

Product Promotion IKEA Furniture

Question: Discuss about theProduct Promotionfor IKEA Furniture. Answer: Introduction IKEA Furniture is one of many recognized and well established home-furnishing brands and it happens to be one of many reasonably priced furniture manufacturers in the world. This promotional strategy is directly aimed at promoting its kitchenware range specifically kitchen cabinets and modular kitchen. The promotional strategy is carried out because the sales of its kitchenware have seen a diminishing trend and therefore it has been a key worry for the company. Thus, the company plans to reinforce its sales figures and foster its revenue by the way of various promotional methods which may perhaps appeal its present and potential customers. Aims and Objectives of the Promotion The primary objective of the promotion is to intensify its market exposure all over Australia for its modular kitchen and kitchen cabinets. The promotion activity also aspires to strengthen its sales in order to increase its revenue (Yeshin 2012). Policies and Procedures IKEAs vision is to create a enhanced life for all its customers. The policies and procedures established by the organization aims at creating and nurturing an environment of transparency, trust, mutual respect and flexibility. It policies also aims at maintaining a high ethical standards with humanistic values where diverse people are valued equally. The policies and procedures of the company also aim at embracing the value of distinctiveness and eliminating all the barriers (Ikea.com 2016). Legislative Requirements for Promotion The government of Australia has established various guidelines that serve as official obligations for marketing and promotion in Australia. The law asserts that an organization must not furnish any deceptive information while marketing its products (Business.gov.au 2016).Further, the Australian Consumer Law was established to protect the rights of the consumers against unfair trade practices (Business.qld.gov.au 2016). Products Chosen for Promotion The product selected for the purpose of promotion is the kitchenware range of IKEA (kitchen cabinets and modular kitchen). IKEA offers wide assortment of kitchen cabinets and modular kitchen for the customers to choose from and create a unique combination and make use of the every inch of space available. The unique selling proposition of the products is its ease of installation and more functionality which is offered with 25 years of guarantee and gives more choices at very affordable prices. The two chief products that are considered for promotion are its kitchen cabinets and modular kitchen (Ikea.com 2016). Feature and Benefits (Kitchen Cabinets and Modular Kitchen) Features Innovative and modern design which suits the current market requirements. Superior product quality. Effortless installation. Assistance from the corporation while making a plan for kitchen arrangement. 25 years guarantee of on the products. Benefits The kitchen cabinets and the modular kitchens designed and manufactured by the company are offered at quite affordable prices. The products offered by the company have a greate value for money (com 2016).. Target Group IKEA has a very wide variety of products with state of the art designs its kitchen cabinets and modular kitchens. The main target group chosen for the promotion of this product is young couples and families. The main objective behind choosing young couples and families is because young couples love to maintain a high standard and style amongst their peers and families are chosen because they are the most frequent visitors to the IKEA stores (Hollensen 2015). Characteristics of the Target Group Some of the principal characteristics of the target group for its kitchen cabinets and modular kitchen are: Price Conscious: Customers these days have grown far more conscious than they have ever been. The customers of the current era look for price which would offer maximum value for their money. Quality Conscious: Apart from expecting maximum value for their money, customers expect whatever products they buy should be of superior quality. Stylish and Standard: People these days are judged on the basis on style and standard they maintain and this is prevalent chiefly amongst the newly married couples or high middle income families. Expects Guarantee and Durability: It is said that nothing comes with a guarantee but it is impossible to sell products to the customers without any guarantee. When families or young couples spend their hard earned money on various products, they expect it to last for longer duration. Proposed Promotional Technique The main promotional techniques for kitchen cabinets and modular kitchen that would be applied during promotions are in-house promotions via catalogues and point of sales promotion. Further, the company will focus on large scale promotion through its website and television (Walters and Nilsen 2014). Promotional Cost The expected funds for the promotional activities of kitchen cabinets and modular kitchen is 10 per cent of their total marketing budget i.e. 10 million which will be spent largely on the internet and television campaigns as internet is a growing phenomenon which has attracted most of the people all over the country and since the catalogue promotion have been economical and effective source of promotion for the company, it will be used as well. Action Plan Principal Activities Week 4 Week 6 Week 10 Week 14 Selection of Target Market Identification of various sources of promotion Selection of most appropriate method Developing Strategies Figure: Gantt Chart (Source: As created by the author) Budget Plan Key Activities Expected Expenditure ($) Website and Search Engine Promotion 3 million Television Promotion 2 million Social media Promotion (Facebook, Twitter, Instagram and other) 4 million Catalogue and Point of Sales Promotion 1 million Total 10 million Figure: Budget Plan (Source: As created by author) Justification for the Promotional Technique The above stated techniques used for promotion of kitchen cabinets and modular kitchen because its target group is young couples who uses internet very often, therefore it would be convenient to reach them over the internet. Further, the in-house catalogue promotion, point of sales promotion, and television promotion would be convenient for the customers who visit the stores very often like the families (Walter and Nilsen 2014). Marketing Objectives and Business Objectives The marketing objective of IKEA is aligned with the organizational objectives which aim increasing its market presence and revenue through sales. The marketing objective of IKEA is aimed at increasing the sales through promoting its kitchen cabinets and modular kitchen at an affordable price. Further, the marketing objectives of the company aim to retain the existing customers as well as attract new customers. Promotional Activities and Marketing Objectives Promotion is the final phase of any marketing activity. During this phase of the marketing, the company focuses on developing several feasible strategies through which the company could inform the customers about the products. It is the most essential component of the entire marketing activity because the main objective of marketing is to educate customers related to the products of the company. It also helps employees to achieve their personal targets and generates maximum revenues for the company as well as the investors. Cost Effectiveness of Promotion Technique This technique of promotion applied in this particular aspect (kitchen cabinets and modular kitchen) are catalogue promotion, television and internet promotion is cost effective as it generates maximum value for money to the organization as these methods have very wide market coverage which helps the company to generate more sales from its existing customers as well as to attract new customers. Conclusion The promotion plan of IKEA to promote kitchen cabinets and modular kitchen is aimed at expanding its market share through education of the customers through its various promotional activities. It describes the various policies and procedures of the company. Further, it also mentions the various laws and regulations that are needed to be followed by the company while marketing in Australia. The report also summarizes the various product categories of the company. The target market or group of the company is defined and the characteristics of the target group have been defined and the promotional techniques adopted by the company are defined. References Business.gov.au. (2016).Legal obligations of marketing. [online] Available at: https://www.business.gov.au/info/plan-and-start/develop-your-business-plans/marketing/legal-obligations-of-marketing [Accessed 20 Nov. 2016]. Business.qld.gov.au. (2016).Advertising regulations | Queensland Government. [online] Available at: https://www.business.qld.gov.au/business/running/marketing/advertising/advertising-regulations [Accessed 20 Nov. 2016]. Hollensen, S., 2015.Marketing management: A relationship approach. Pearson Education. Ikea.com. (2016).AODA Customer Service Standard - IKEA. [online] Available at: https://www.ikea.com/ms/en_CA/customer_service/ikea_services/IKEA_AODA.html [Accessed 20 Nov. 2016]. Walters, A.S. and Nilsen, W.E., Yuno, LLC., 2014.Social network connection-driven product promotion. U.S. Patent Application 14/503,495. Yeshin, T., 2012.Integrated marketing communications. Routledge.

My Goals for the Future free essay sample

What you get by achieving your goals is not as important as what you become by achieving your goals†- Henry David Thoreau. Making and achieving goals is so important in one’s life, because once you have achieve them it makes you a better person. Achieving goals make you feel confidence in yourself, and it gives you the sense of accomplishment. Like the quote says it’s not about what you get from achieving your goals it’s about what you become by achieving your goals. I was always a person who had very high goals because I felt that the higher they are, the harder I will work to achieve them. After high school I will be attending Clemson University in the Call Me Mister Program and one of my goals is to become a great teacher. Every since I was in middle school I always felt that education was my calling, because I love to talk and help others. We will write a custom essay sample on My Goals for the Future or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page Now as a high school senior I have start working towards my goal by entering the teacher cadet class where I am in the classroom with students. Being in this program has really brought me closer to the education field. I have learned that becoming a teacher is not just about teaching, but it’s about mentoring and loving your students. Teaching is a way to aid parents with the upbringing of their children. I believe that being a part of the Call Me Mister program will most definitely help me reach my goal, because â€Å"Mister† means Mentors Instructing Students Toward Effective Role Models which is one of their main priority. Another goal of mine is to become a Principal. I feel that one should never stop at just one goal; there should always be others in place. Once I reach my first goal to become a teacher; I will strive to become an effective Principal. Being a principal will give me the authority to help all students be successful. Becoming a principal would give me the lead away of putting my school on the map. Being the strong, family oriented leader that I am, I can do many things as a principal. I see myself coming back to Elloree and making a difference. I want all of Elloree children to have the same opportunities and even more than what I had. I want the parents of the students to feel proud of their children, because of something positive. I want to knit elloree back together as a family. I have many goals, but these are some that benefit my community and me. It is great that the citizens of Elloree give out a scholarship to students in the community. It gives me joy to see that there are people in my community that do care about my education and my future. That why I feel that it is my duty to come back to my community and help other students achieve their goals. It takes only a few people to help a child on their way to success. With this scholarship some of my goals can be accomplish. Every penny counts when education is the key. Making and achieving goals is so important in one’s life, because once you have achieve them it makes you a better person. Every child’s life should be fill with goals and dreams. And with that said, there should be adults out there to make sure that every child goals and dreams are fulfill. It only takes one person to start it off. With GOD on my side, I will do what is possible to achieve my goals. Achieving is believing and once you believe that you can do it, it will be done.

England and Ireland essays

England and Ireland essays To understand this current situation, we will have to go back in history. There are three critical dates which lead to the situation today. Those dates are: 1170, 1609, and 1969. In the next paragraphs I will briefly explain what was going on in each of these years. To begin with, in 1170, Henry II ruled England. He attempted to attach Ireland to his kingdom. However, he only established control in a small area near Dublin known as the Pale. In that particular area, English citizens started moving in and adapting the English language, religion, practices, beliefs, and etc. Attempts were made to conquer the rest of Ireland, but major English expansion did not take place until the seventeenth century. In 1609, Queen Elizabeths army had established the English rule over most of the island of Ireland, with the exception of the Northern Province: Ulster. The Ulster clans (Lead by Hugh ONeil) had a very affective alliance against the English army. Unfortunately, after a long and damaging campaign, it was eventually brought under English control in 1703. By then, all the Irish leaders had left Ireland for Europe, and less than 5% of Ulster was controlled by Catholics Irish. Later on, in 1969, the restlessness in Northern Ireland really started. In this year, the minority demanded better job opportunities, accommodation, and rights for voting. In reaction to this, the British government introduced a new law which prohibited religious discrimination and cancelled the law of 1922. In reaction to that, in the 1970s, the IRA (Irish Republic Army) began their terrorist reactions. The problems in Northern Ireland are practically from the difference in religion. There are two main camps, the Unionists and the Republicans. The Unionists are Protestant Christians, and the Republicans are Catholic Christians. Northern Ireland was created by the English as an attempt to stop the fighting. The idea was that as the Protestants...

Buddhist And Christian Ethics Theology

Buddhist And Christian Ethics Theology Buddhism and Christianity are religions with comprehensive and contrasting ethical laws and customs. Throughout this essay the ethical practices of both religions will be described in detail, with an exploration of their similarities and differences presented. Description of Buddhist Ethical Practices Seven weeks after Prince Siddhartha Gautama had attained enlightenment whilst meditating under a bodhi tree, he delivered his First Sermon to his five former ascetical companions under that same tree. The contents of that initial sermon are knows as the Four Noble Truths, which are essentially the foundation of the religion. They are as follows: (Gwynne 2011, p. 93) â€Å"1. Suffering: Now this, monks, is the noble truth of suffering: Birth is suffering, ageing is suffering, sickness is suffering, death is suffering; union with what is displeasing is suffering; separation from what is pleasing is suffering; not to get what one wants is suffering; in brief, the five aggregates subject to clinging are suffering. 2. The Source of Suffering: Now this, monks, is the noble truth of the origin of suffering: It is the craving which leads to renewed existence, accompanied by delight and lust, seeking delight here and there; that is, craving for sensual pleasures, craving for existence, craving for extermination. 3. The Cessation of Suffering: Now this, monks, is the noble truth of the cessation of suffering: It is the remainder-less fading away and cessation of that same craving, the giving up and relinquishing of it, freedom from it, and non-reliance on it. 4. The Way to the Cessation of Suffering: Now this, monks, is the noble truth of the way leading to the cessation of suffering: It is this Noble Eightfold Path: that is, right view, right intention, right speech, right action, right livelihood, right effort, right mindfulness, and right concentration.† Like its parent religion Hinduism, Buddhism teaches that the ultimate goal of the lives of adherents is to bre ak free from the wheel of reincarnation and attain nirvana. Where it differs from Hinduism is instead of stressing the importance of obligations related to caste, gender and age (varna ashrama dharma), it stresses the embodiment of the sublime truth that was rediscovered by Prince Siddhartha on his night of enlightenment, which was imparted to his early followers in his First Sermon. The essence of Buddhist dharma (as opposed to Hindu dharma) is the Four Noble Truths which, along with the Buddha himself and the community of adherents (Sangha), make up the Three Jewels of Buddhism. The last of the Four Noble Truths, the Noble Eightfold Path, is often divided into three categories: 1. Wisdom (panna) – right view and right intention 2. Meditation (samdhi) – right effort, right mindfulness and right concentration 3. Virtue (sila) – right speech, right action and right livelihood. This category specifically provides ethical instruction for Buddhists, insisting that a dherents must refrain from abusive, deceitful or divisive words through right speech; calling buddhists to be generally righteous in their actions; and implying that certain occupations may be immoral and hence unsuitable. (Gwynne 2011, pg. 92) Buddhism lacks a clear belief in a supreme being, resulting in Buddhist morality being based upon the degree as to which thoughts and actions will advance or impede one’s quest for final liberation. It is not based upon commandments issued by a transcendent God which are to be unquestionably followed by adherents, as is the case in the Abrahamic religions. Without a God to dictate what is good and evil, Buddhists refer to certain actions as â€Å"skillful† (kausalya) or â€Å"unskillful† (akausalya) rather than right or wrong. Buddhist morality is based upon considerations of individual progress on the road to liberation from the wheel of reincarnation rather than practicing the will of a divine God.

Homebase Coursework Example | Topics and Well Written Essays - 3500 words

Homebase - Coursework Example The drivers include financials, customer service, internal business, learning, and development. The analysis aims to make the coming results for 2015 better according to the vision as well as the strategies of Homebase Retail Company. The report also presents the strategy map for the company to show the connection between the four drivers (perspectives) of the scores and the company’s strategy (Kaplan & Norton 2004, p. 7). It maps all the objectives to the major performance indicators to produce a complete outcome. The board of directors also gets the recommended actions from the scorecard and the strategy maps ensure that Homebase Retail Company operates according to the analysis. Additionally, the board will be able to set smart and realistic goals so that it can make systematic decisions to improve the key financial and strategic indicators of performance. Homebase Retail Company operates as one of the biggest and the leading home improvement company, retailer and a gardening centre in the UK. Its close competitors in the industry include Argos and Financial Services. Home Retail Group made revenues amounting to  £18.9 Million in the year that ended in March 2014, which is a slight improvement from the previous year 2013 by approximately 3.6% in revenue (Bourne & Bourne 2002, p. 54). Home Retail Group started operating in the business began in the UK in 1979, under the name Sainsbury Homebase. As one of the largest retail companies in the UK, Homebase Retail Company has a value of between  £2.7 billion and  £3 billion (Kennerley & Neely 2000, p. 47). Homebase Retail Company is currently running its business in a number of subsidiaries in about the UK and the US, such as Bell’s Stores Homebase and Texas Homecare. It has employed more than 17000 workers in all the stores and subsidiaries. Its slogan â€Å"Make a house a ho me† draws many customers to its business, which has grown its client

Critical Thinking Essay Example | Topics and Well Written Essays - 1500 words

Critical Thinking - Essay Example 3. The production of wealth is mainly based on the exploitation of the earth’s natural resources. Unchecked exploitation of these finite resources is an off-shoot of the need to engender wealth, and leads to imbalances in the ecosystem. Conversion of these natural resources into manufactured consumer goods often uses technology which causes pollution and global warming. In this context, economists tend to ignore the environmental problems which accompany economic growth. This puts them in direct confrontation with environmental scientists who are concerned with the protection of the environment. 4. (a) Environmental issues, such as clean air, conservation of wildlife, and green energy, cannot be judged in purely monetary terms. While clean air cuts medical costs due to lung disorders, and green energy, such as more efficient refrigeration techniques, can reduce wastage and energy bills, it is more difficult to define the benefits of wildlife conservation in financial terms. Lo ve of wildlife involves social and emotional aspects which cannot be quantified. (b) I would be prepared to pay about five percent of my income towards environmental issues. 5. The question in the title is, â€Å"Why do economists and environmental scientists have such a hard time communicating?†... 7. (a) The problem defined in the essay is the irreconcilable difference in attitude between economists and environmental scientists in assigning monetary values to environmental goods. (b) The proposed solution is to assign monetary values to environmental goods, so that there can be trade-offs between the competing needs of wealth generation and environmental protection. (c) The writer doubts that an agreement can be reached between economists and environmentalists, as the latter will not accept the assignment of a cash equivalent, however large, to environmental goods or agree to a cap on environmental spending. 8. Summary of Article 1. The article, â€Å"Never the Twain Shall Meet: Why do economists and environmental scientists have such a hard time communicating?† deals with the wide gap in the perspectives of economists and environmentalists. While economists firmly believe that environmental goods can be reduced to cash equivalents, this idea is anathema to environmenta lists. Economists argue that by assigning monetary values to environmental goods, such as clean air and biological diversity, compromises can be made to achieve a balance between the consumption of these goods and environmental protection. The writer declares that it is inevitable that monetary values be assigned to environmental goods, so that a policy can be formulated and choices can be made regarding the consumption of such goods. Philip Graves, an economist, states that environmental goods are substantially undervalued by economists using standard methods of measurement. He contends that there will be a significant difference in the amount consumers would spend on environmental goods if they were actually available on the market, and the amount they give as a theoretical estimate.

Social Networking Essay Example for Free

Social Networking Essay A social networking service is an online service, platform, or site that focuses on facilitating the building of social networks or social relations among people who, for example, share interests, activities, backgrounds, or real-life connections. There are dating sites, friendship sites, sites with a business purpose and hybrids that offer a combination of these When it comes to online social networking, websites are commonly used. These websites are known as social sites. Social networking websites function like an online community of internet users. Depending on the website in question, many of these online community members share common interests in hobbies, religion, politics and alternative lifestyles. Once you are granted access to a social networking website you can begin to socialize. This socialization may include reading the profile pages of other members and possibly even contacting them. A social network service consists of a representation of each user (often a profile), his/her social links, and a variety of additional services. Most social network services are web-based and provide means for users to interact over the Internet, such as e-mail and instant messaging. Online community services are sometimes considered as a social network service, though in a broader sense, social network service usually means an individual-centered service whereas online community services are group-centered. Social networking sites allow users to share ideas, activities, events, and interests within their individual networks. Social networking establishes interconnected Internet communities sometimes known as personal networks that help people make contacts that would be good for them to know, but that they would be unlikely to have met otherwise. In general, heres how it works: you join one of the sites and invite people you know to join as well. Those people invite their contacts to join, who in turn invite their contacts to join, and the process repeats for each person. In theory, any individual can make contact through anyone they have a connection to, to any of the people that person has a connection to, and so on. The main types of social networking services include: a) Facebook is the world’s largest social network, with more than 900  million users. Mark Zuckerberg founded Facebook in 2004 while he was attending Harvard University. b) Google+, a social network operated by Google, Inc., launched on June 28th, 2011 with integrations across a number of Google products, including Buzz and Profiles. c) Twitter is a free microblogging service founded in 2006 by Jack Dorsey and Biz Stone. At its heart are 140-character bursts of information called tweets. Users can include links to other content in their tweets, and broadcasts can be public or private. d) YouTube was founded in February 2005 and has become the go-to site for video on the web. One hour of video is uploaded to YouTube every second. e) WhatsApp Messenger is a cross-platform instant messaging application available only to the smartphones: iPhone, BlackBerry, Android and Symbian. In addition to normal texting, WhatsApp Messenger users can send each other images, video and audio media messages, as well as engage in group conversations between multiple users. Social networking has some benefits for example you are able to make friends. Another one of those benefits includes diversity because the internet gives individuals from all around the world access to social networking sites. This means that although you are in the United States, you could develop an online friendship with someone in Kenya. Not only will you make new friends, but you just might learn a thing or two about new cultures or new languages and learning is always a good thing. Social networking also has some disadvantages associated with it, for example employers can use information on social sites to learn about prospective employees. Reading profiles and perusing photos has become standard for human resources departments in some companies. Ones job search could be affected accordingly. Most of this sites are also addictive and this can affect your studies if you are student and affect your job if your are working. There are dangers associated with social networking including data theft and viruses, which are on the rise. The most prevalent danger though often involves online predators or individuals who claim to be someone that they  are not Social site trend is growing very first and currently we have cellphone application. The cellphone potential for socializing is growing all the time, and mobile features allow users to continue their experience when away from home, school or office. The GPS feature built into many smartphones adds the twist of knowing where friends are at any given moment. Social networking will remain relevant to those who are willing to continue learning as new techniques come out and also new services are developed. This is because looking at the current trend in technology there is a high speed growth in this field.

Phoenix Jacksons Story in A Worn Path :: essays research papers

"Little by little, one walks far." Peruvian Proverb As this cherished saying from Peru is implying, great things never happen in single leaps. It takes small steps, and plenty of determination, to get to the end. Phoenix Jackson, an elderly African-American, is a great example of this proverb as she walks that long distance to town, determination in her every step. Even in her old age Phoenix is a shining example of what can be accomplished with determination. Phoenix?s unwavering determination is clearly evidenced in her reaction to the dog, in her meeting with the hunter, and in her personal battle of age. One aspect of determination is the bravery to keep going no matter what may happen, which Phoenix displays often throughout the story. When Phoenix was attacked by a large black dog on her way to town, the elderly woman was unfazed. While some people would have panicked, Phoenix simply laid ?there and presently went to talking. ?Old woman,? she said to herself, ?that black dog come up out of the weeds to stall you off, and now there he sitting on his fine tail, smiling at you??. Phoenix?s reaction to the dog was one of good humor, which shows that even though she was startled, she was not flustered in the face of danger. After being tackled by the large dog, a hunter with a dog of his own comes along and rescues the Phoenix. After the hunter had shooed the large dog away, he pointed the barrel of his gun directly at Phoenix. She was unfazed and if anything she stood up straighter. When the hunter asked if the gun scared her, she replied, ?No, sir, I seen plenty go off closer by, in my day, and for less than what I done.? Phoenix?s bold statement hints at her probably tragic past, which undoubtedly shaped her to become the woman she is today. Determination alone is not enough to accomplish a task. Motivation is needed as well. For Phoenix, she has her grandson, who needs medicine from town or else he could not breathe. At the doctor?s office, the nurse explained to the attendant the ?she doesn?t come for herself- she has a little grandson. She makes these trips just as regular as clockwork.? Phoenix, even in her old age, travels that long way in every kind of weather, just to ensure her young grandson?

Safeguarding And Forms Of Abuse

I am going to briefly talk bout the main types of abuse and outline a general picture about safeguarding. I will then focus on two types of abuse and explain them in more detail, giving examples of real life events. Safeguarding is? Safeguarding means protection against something undesirable. Everyone has the responsibility to safe guard children and young people. The Government and safeguarding legislation guidance says that safeguarding means: Protecting children from maltreatment. Preventing impairment of children's health or development.Ensuring that children are growing up In circumstances consistent with the provision f safe and effective care. Taking action to enable all children and young people to have the best outcome. â€Å"the action we take to promote the welfare of children and protect them from harm ; is everyone's responsibility. Everyone who comes into contact with children and families has a role to play. † Types of Abuse Deprived of health benefits – this is when a abuser will stop a victim from getting any form of help such as seeing a doctor, a dentist or attending an appointment.The abuser me see that the victim doesn't require that specific attention because they may see the victim as not worthy or special. They may also think that the Injuries the victim has may become noticed and be looked Into leading to the abuser being found out and reported. Physical abuse- this Is when an abuser physically Injuries a volt such as halting and cackling them or anything where the abuser Inflicts pain on the victim. This abuse is a form of excitement for the abuser as they have control over the victim.People may also hit out through stress or maybe due to losing their temper but there are lots of other reasons. This specific abuse will include the abuser hitting the victim in some way to get what they want from them and to keep hey grounded and under control by striking fear into the victim. Verbal abuse- this is when a abuser will say th ings to a victim to make them feel bad about themselves. This can result in the victim going on to act in a bad way such as saying verbal abuse to others therefore repeating the abusers words.This abuse is used to make others feel bad about themselves so that the abuser can feel good about them self. Emotional abuse – this can be linked In with any other form of abuse as the volt will be feeling certain things and In a certain way. Emotional abuse is where a abuser ill try to break the volt down emotionally resulting In the victim feeling bad about themselves all the time and the abuser being able to get inside a victim's head bad at what they do or how they act or making a victim feel bad inside constantly.Financial abuse- this form of abuse is when a abuser will take money from a victim, whether the victim knows or not is a different matter. An abuser may simply steal money from a victim by going into their purse or wallet and taking money or by doing it in a sneaky manner such as borrowing money or playing the victim to a game which they won't win. Sexual abuse- this form of abuse includes when a abuser will touch a person in a sexual manner without being given consent by the person to do it such as touching breasts or genitals.Sexual abuse can also include rape this is when the person hasn't or cannot consent to sex but the abuser continues to do the act. Psychological abuse- this is when the abuser will try to get inside the head of a victim so they can obtain what they want or get the victim to do or say what they want this will allow the abuser to convince the victim that it is k to be doing this to them. Neglected- this is a form of abuse where the abuser will not let the victim have food, water, hygiene or medical attention and they will make sure that no one else allows those things to happen.The abuser may also stop a victim for Joining in with things or being in a group with people they would like to socialist with. This form of abuse leaves the victim to survive on their own without having any means to survive with. Bullying- bullying is when a abuser will use any of the forms of abuse to make a person or a group of people feel bad. Emotional, verbal and physical abuse are molly linked with bullying as they can make a person feel bad about themselves rather quickly and easily. Physical abuse I am now going to focus on two types of abuse which are physical abuse and self harming.Physical abuse is any form of pain which is inflicted on a person and is done on a daily basis. Hurting someone in an intentional way is physical abuse. This form of abuse may consist of many things such as: Scratching Head butting Shouting Drowning Dragging Around Sleep Deprivation Throwing Outside/Locking Outside Putting in stress positions Blinding (Blindfolding) scolding Cutting Kneeing Strangling Hitting Pushing Pulling Hair Biting Physical abuse allows them to control someone as the abusers strike fear into their victims leading them to d o, say and act like the abuser wants them to.Physical abuse took place in Long Care (Stoke Place), here the patients were physically abused by their careers. This involved them being slapped, kicked and hit on a daily basis to control them into doing as the careers wished or to prevent them from doing something. Self harming Self-harm is when someone intentionally hurt themselves by damaging or injuring heir body and is used as a way to deal with or express emotional distress.In most cases people who self harm do it to help them to deal with overwhelming and unbearable emotional issues which are caused by problems such as: Social factors- like being bullied, having difficulties with work or school or having difficult relationships with friends or family. Trauma- such as physical or sexual abuse or the death of a close family member or friend. Mental health conditions- such as depression or borderline personality disorder. Self harming is a lot more common than people realism and can take part in any person's life.It is more common to appear in the lives of 15 and 16 years old as in 2002 a I-J survey showed an estimate that 10% of girls and 3% of boys had self harmed in the previous year. In some cases people self-harm with the intension to kill themselves but often people self harm to punish their selves, express distress or to relieve tension. Self harming can also be seen as a cry for help in some cases. Types and signs of self harm – There are many ways that people can intentionally harm their selves such as: Cutting or burning their skin Punching themselves Poisoning themselves with things such as tabletsMisusing alcohol or drugs Deliberately starving themselves (anorexia nervous) or binge eating (bulimia nervous) People who self harm will keep it a secret as they fear the shame of discovery; therefore it is often up to family or friends to notice when someone is self harming and for them to approach them with understanding and care. Some sign may i nclude unexplained injuries or a person may show signs of a low self esteem or even depression. Someone who is self harming could seriously hurt themselves and should therefore be referred to a doctor so that they can discuss the underlying sue and find a way of treatment and therapy to help them.The events such as physical, sexual and emotional abuse that took place at places such as Long Care (Stoke Place), Wintergreen view and Stafford Hospital (Mid-Staffordshire Hospital Trust) may have lead to a person to self harm as they may feel bad about themselves and therefore feel the need to punish their selves or in some cases end their lives. In places like this if self harming was discovered in a patient nothing would have been done to help them as the abusers would have seen it as a cry for help which could lead them to getting caught in the acts they had committed.In conclusion this presentation shows that abuse happens in lots of people's daily life, whether they are in a care hom e or in home or workplace and that in some cases it doesn't get found out about or nothing is done about it. It is important that abusers get caught and prosecuted and that the victims get the help they need. It is also important to out about things that a person may have seen or noticed in another. Places such as the ones mentioned in the presentation were involved in most of the types of abuse discussed and nothing was done about it until it was captured on film.

Summer Sport Camp at State University

14th MANCO Linear Programming Approach for Irrigation Scheduling – A case Study H. MD. AZAMATHULLA, Senior Lecturer, River Engineering and Urban Drainage Research Centre (REDAC), Universiti Sains Malaysia, Engineering Campus, 14300 Nibong Tebal, Pulau Pinang, Malaysia; email: [email  protected] usm. my, [email  protected] com (author for correspondence) AMINUDDIN AB GHANI, Professor, REDAC, Universiti Sains Malaysia, email: [email  protected] usm. my NOR AZAZI ZAKARIA, Professor, REDAC, Universiti Sains Malaysia, email: [email  protected] usm. my CHANG CHUN KIAT, Science Officer, REDAC, Universiti Sains Malaysia, email: [email  protected] sm. my Abstract There is an increasing awareness among irrigation planners and engineers to design and operate reservoir systems for maximum efficiency to maximize their benefits. Accordingly, significant work has been done on reservoir operation for known total irrigation demand and on the optimal allocation of water available to c rops at the farm level. Very few studies have been conducted to derive optimal reservoir operation policies integrating the reservoir operation with the on-farm utilisation of water by the various crops.This present paper deals with the development of model — Linear Programming (LP) — to be applied to real-time reservoir operation in an existing Chiller reservoir system in Madhya Pradesh, India. Keywords: Cropping pattern, Water resource management, Irrigation management, Optimization 1. Introduction In most developing countries, a huge share of the limited budget goes to creating facilities for irrigation. Construction of reservoirs requires very high investment and also causes socioeconomic and environmental issues.Water in the reservoir has multiple claimants and needs to be optimally utilized to generate maximum benefits through proper operation, which must remain consistent despite uncertain future inflows and demands. According to the World Commission on Dams, ma ny large storage projects worldwide are failing to produce the anticipated benefits (Labadie, 2004). Similarly, small storage projects made for local areas in developing countries, like India, are also failing to meet expectations.The main cause identified at various levels of discussion, as reported by Labadie (2004), is inadequate consideration of the more mundane operation and maintenance issues once the project is completed. For existing reservoirs, optimum operation is critical, since all the expected benefits are based on timely water releases to meet the stipulated demand. Real-time operation of a reservoir requires making relatively quick decisions regarding releases based on short-term information. Decisions are dependant on the storage in the reservoir and information available in the form of forecast hydrologic and meteorological parameters.This is especially important during floods and power generation, where the system has to respond to changes very quickly and may need to adapt rapidly (Mohan et al. 1991). For reservoir systems operated for irrigation scheduling, real-time operation is not very common because of longer decision steps. Traditionally, the reservoirs meant for irrigation purposes are operated on heuristics and certain rules derived from previous experiences. This defies the concept of water-management; much of the water is lost, which in turn leads to loss of revenue.In the early 1960s, mathematical programming techniques became popular for reservoir planning and operation; pertinent literature is available. An excellent review of the topic is given by Yeh (1985), followed by Labadie (2004) and Wurbs (1993). Along with simulation studies, Linear Programming (LP), Dynamic Programming (DP) and Non Linear Programming (NLP) are the most popular modelling techniques. A comparative study on the applicability and computational difficulties of these models is presented by Mujumdar and Narulkar (1993).Many of the aforementioned techniques ha ve been implemented in realistic scenarios, and many reservoir systems worldwide are operated based on the decision rules generated from these techniques. However, there exists a gap between theory and practice, and full implementation has not been achieved yet (Labadie, 2004). 1 14 & 15 February 2009 Kuching, Sarawak The basic difficulty a reservoir manager faces is to take a real-time optimum decision regarding releases according to the future demand and inflow. This leads to the problem of optimization of the stochastic domain.Two approaches of stochastic optimization are practised: i) Explicit Stochastic Optimization (ESO), which works on probabilistic descriptors of random inputs directly and ii) Implicit Stochastic Optimization (ISO), which is based on historical, generated or forecasted values of the inputs through the use of Time Series Analysis or other Probabilistic approaches. The ESO approach has computational difficulties; ISO methods are simple, but require an addition al forecasting model for real time operation. In the case of irrigation reservoirs, decision making at the reservoir level depends upon the water demand arising at the field level.In order to operate the reservoir in the best possible way, it becomes imperative to understand the processes occurring in the crop-soil-water-atmosphere system. This helps not only in the estimation of accurate demands, but also ensures optimum utilisation of water. If the processes at the field level are also modelled properly and integrated with the reservoir level model, the goal of water management can be achieved in the best possible way. Dudley et al. (1971) pioneered the integration of the systems in the determination of optimal irrigation timing under limited water supply using a Stochastic DP model.Dudley and his associates then improved the model (Dudley and Burt, 1973; Dudley, 1988; Dudley and Musgrave, 1993). Vedula and Mujumdar (1992, 1993) and Vedula and Nagesh Kumar (1996) have also contrib uted to this area. Their approach was to derive a steady state reservoir operation policy while maximizing the annual crop yield. DP-SDP and LP-SDP were used in the modelling. However, for real-time reservoir operation, Vedula and Nagesh Kumar (1996) stressed the need to forecast inflows and rainfall in the current season to implement the steady state operation policy.As a result, the ESO model has to be supplemented with an ISO model to get a policy for the current period. As an extension to the work of Vedula and Mujumdar (1992), a significant contribution to the real-time reservoir approach was presented by Mujumdar and Ramesh (1997). They addressed the issue of short term real-time reservoir operation by forecasting the inflow for the current period, a crop production state variable and a soil moisture state variable. Their work was based on SDP, but had all the limitations of SDP regarding the curse of dimensionality.Against this background, a model for the derivation of real-t ime optimal operating policy for a reservoir under a multiple crop scenario is proposed in the present study. The primary issue is that the reservoir gets inflows during the wet season (monsoon season) and is operated for irrigation in the dry season (non-monsoon season). The reservoir storage and the soil moisture level are considered to be the principal state variables, and the irrigation depths are the decision variables.An optimal allocation model is embedded in the integrated model to evaluate the irrigation water depth supplied to different crops whenever a competition for water exists amongst various crops. The model also serves as an irrigation-scheduling model because it specifies the amount of irrigation for any given fortnight. The impact on crop yield due to water deficits and the effect of soil moisture dynamics on crop water requirements are taken into account. Moreover, a root growth model is adopted to consider the effects of varying root depths on moisture transfer. The only stochastic element in the season is the evapotranspiration. The handling of stochasticity has been accomplished through dependability based forecasting in an ISO model. The rest of the variables, such as soil moisture status and the reservoir storage status, at the beginning of any period are considered to be state variables. The basic formulation is based on a LP model and is later transformed into a GA framework. 2. The Model Formulation and Concept The real-time operation model proposed in the present study integrates the reservoir level and a field level decision (Figure 3).It considers the soil-moisture status and the reservoir storage as the state variables and the applied irrigation depths as decision variables. The formulation is based on the conceptual model for soil moisture accounting and the reservoir storage continuity relationships. A major emphasis is laid on maintaining soil moisture in a state such that the evapotranspiration from the crops takes place at a rate that achieves better results in the form of increased yields from the crops. To assess the timing of irrigation water application, the soil moisture status of the crop is an important parameter.Whenever the soil moisture status approaches a critical limit, irrigation is applied. Thus, the soil moisture status is monitored either by physical measurement or through soil moisture models. Soil moisture models are more popular since they do not require a lot of instrumentation to be installed in the field. Soil moisture models can be formulated either by a physical approach (Fedders et al. , 1978) or a conceptual approach (Rao, 1987). The conceptual approach has been used by Rao et al. (1988), Rao et al. (1990) and 2 14th MANCO Hajilal et al. (1998) for the problem of irrigation scheduling.Vedula and Mujumdar (1992) utilised the conceptual model in their study. The same concept is adopted in the present study. Figure 3 Flow chart of real-time operation of reservoir 3 14 & 15 Februa ry 2009 Kuching, Sarawak 3. The Conceptual Model In the conceptual model for the Crop-Soil-Water-Atmosphere (CSWA) system, the basic assumption is that the soil acts as a reservoir, the main inputs to the reservoir are rainfall irrigation, and the main outputs are evapotranspiration, percolation and drainage. The extent of the reservoir is considered to be up to the effective root zone at the particular time.The soil water reservoir is governed by a continuity equation: ? ik +1 ED ik +1 ? ? ik ED ik ? IRR ik + AET i k = RF k (1) The conceptual model stated by Eq. 1 is used to compute the irrigation to be applied for the LP model with area as a decision variable. The following parameters are important for the conceptual model. Figure 1 shows the sketch for the conceptual reservoir. In the context of the conceptual model two parameters are important: IRRk RFk AETk EDk ?k Figure 1 Conceptual model Variation of Evapotranspiration with the Available Soil Moisture Evapotranspiration as a function of the available soil moisture is expressed as: kAETi k = PETi k if aai ? Zww (2) or AETi k = k aai PETi k Zww where AETi k (3) is the actual evapotranspiration that has occurred from crop i in fortnight k (mm), PETi k is the potential evapotranspiration in a particular geographical location (mm), Zww is the critical available moisture limit (mm/cm) = (Zf? Zw) d, Zf is the field capacity for the soil (mm/cm), Zw is the permanent wilting k point for the soil (mm/cm), d is the depletion factor and assumed to be 0. 5 in the present study, and a ai is the average available soil moisture over a fortnight (mm/cm). The average available soil moisture over a fortnight is given by ik + aik +1 a= 2. 0 k ai where otherwise aik = ? ik ? Zw if aik < Zww aik = Zww k +1 A similar expression can be used for ai . 4 14th MANCO Root Zone Depth Growth The root depth data in relation to the time stages are prepared according to the Linear Root Growth Model (adopted by Narulkar, 1995). The model assumes that maximum root depth is achieved at the start of the yield formation stage. It remains at the maximum depth until the maturity stage. A minimum depth of 15 cm is considered in the first fortnight to account for the conditions of bare soil and an area with sparse crops.The root depth model is shown in Figure 2. Life span of group Growth stages of group V F G Root Depth Max. Depth Figure 2 Root Depth growth model Relative Yield Ratio The yield of a crop is affected by water deficits and the rate of evapotranspiration. The rate of evapotranspiration tends to decrease depending on the available moisture content. There are many methods to model the phenomenon. However, the model used in the present study is the most commonly-adopted model. The relative yields are computed on the basis of the expression given by Doorenbos and Kassam (1979) YaiAETi k ? k? = 1 ? Ky ? 1 ? ? PET k ? ? Ymi i? ? (4) Equation (4) gives a yield ratio for a single period only. However, the aggregate ef fect of moisture deficits over all fortnights of crop growth is also evaluated. The final yield ratios computed for the crop during various time periods of a season is computed by a multiplicative model (Rao et al. , 1990). The determination of the yield ratio is very important since they reflect the operation policy for an irrigation system. The expression is given by ? AETi k Yai ncr ? = ? ?1 ? Ky k ? 1 ? ? PET k ? Ymi i =1 ? i ? (5)Water Requirements of the Crops The model derived for an optimal crop pattern uses predetermined irrigation demands. On the basis of this, the optimisation model selects an appropriate area for an individual crop. The irrigation demands are determined using the conceptual model stated in Eq. 1. The irrigation requirements may be calculated by substituting a value of critical soil moisture content instead of soil moisture in either of the fortnights k and k+1 and replacing the values of actual evapotranspiration by potential evapotranspiration and re arranging the terms of Eq. : ( ) IRRik = ? cr EDik +1 ? EDik + PETi k (6) 5 14 & 15 February 2009 Kuching, Sarawak where ? cr is the critical soil moisture content below which the actual evapotranspiration may fall below the potential rate. 4. Integrated LP Formulation In the objective function, the weighted sum of all the actual evapotranspiration values is maximised. The weights are assigned according to the yield response factors for individual crops in individual periods. The objective is to maximise the actual evpotranspiration rate to minimise the deficits in the yields.The available soil moisture in any time period in the objective function is indirectly maximised: ncr np ? a k + aik +1 ? Ky k MaxZ = ? ? ? i ? 2. 0 ? Zww i =1 k =1 ? (7) subject to the following constraints: 1. Soil moisture continuity ? aik + aik +1 ? PET = RF k ? 2. 0 ? Zww ? ? ik +1 EDik +1 ? ? ik EDik ? IRRik + ? (8) ? ik +1 ? aik +1 ? bik +1 = ZW (9) where with physical bounds ? ik +1 ? 4. 0 a 2. k +1 i ( 10) ? 0. 9 (11) Reservoir continuity ncr A k S k +1 ? B k S k + ? i =1 S k +1 ? 31. 1 5. IRRik * AREAik = ? ID ? Ao RE k Eff (Maximum Reservoir Capacity M m3) (12) (13) Crop Simulation ModelThe optimisation model presented above yields some irrigation depth values that are based on forecasted values for the reference evapotranspiration. This reference evapotranspiration, in turn, is based on a dependability model. However, the actual evapotranspiration value differs from these values, and thus, before going into the next fortnight, the soil moisture status must be updated with the applied irrigation and actual climatic factors. The formulation for crop simulation is as follows: First compute the final soil moisture with the following relation ? ik = (? ik +1 EDik +1 + IRRik ?Fkcik APET k + ARF k ) / EDik If (14) ? ik +1 < 3. 1 ?k ? Fkcik +1 APET k +1 Fkcik +1 APET k +1 ZW + ARF k +1 ? ? i EDik + IRRik +1 ? + ? 2. 0 2. 0 ? EDik +1? ik +1 = ? k +1 k +1 Fkci APET EDik +1 2. 0 ( ) (15) or 6 14th MANCO ? ? ik = ? ik ? 1 ? EDik ? 1 ? ? Fkcik APET ? Fkcik APET Fkcik APET + Zw + ARF k + IRRik ? ? EDik ? 2 . 0 2 . 0 2 . 0 ? (16) or ? k ? 1 ? k ? 1 Fkcik APET ? Fkcik APET Fkcik APET ? k k ? ? = i ? EDi ? Zw? ? ? EDi ? ? + IRRi + ? ? 2. 0 2. 0 2. 0 ? ? ? ? k i (17) The computed soil moisture status of the crops is used in the next fortnight to compute the demand. . Stochastic Analysis of Evapotranspiration It was previously stated that the data regarding the climatic factors is uncertain in nature and the determination of these factors beforehand is impossible. However, there is a general trend to assume the expected values for these factors and carry out the operation. The concept does not give a clear picture of the actual scenario and the appropriate weights for the individual growth stage of the crops are not assigned. The present study proposes a different method of forecasting the expected values for the climatic factors.The method of analysis starts with the co mputations of dependability values of reference evapotranspiration factors from the available data. The dependability of realisation of any stochastic variable is defined as the probability of equalling or exceeding that variable with a particular value. Mathematically, P(x ? X ) (18) where P (. ) is the probability and x is the variable under consideration and X is a stipulated value of the variable. A traditional method of estimation of the dependability value is the use of standard frequency formulae (e. . Wiebull’s formula or Hazen’s formula). In the present study, a detailed probability analysis for the data is performed. The data is fitted to a standard probability distribution and the best fitting distribution is tested through the Kolmogorov Smirnov Test (Haan, 1977). Once the values corresponding to different dependabilities are evaluated, dependability values for reference evapotranspiration are assumed to be different in different growth stages. The analysis is performed on the basis of the yield response factor.A high yield response factor signifies greater sensitivity towards the deficits, and thus, a higher level of dependability is assumed for the evapotranspiration data and a lower level of dependability is assumed for the rainfall data. This will ensure a higher value of irrigation required for the crop in the sensitive period. As a result, the crop will be safeguarded against any poor moisture content conditions. 7. LP Model Formulation for Optimal Cropping Pattern At the start of each dry season, depending on the storage volume in the reservoir, the crop pattern must be determined.To evaluate the crop pattern, another LP model is used. In this model, irrigation depths are calculated from Eq. (6). The formulation is as follows: The objective function is MaxZ = C1 X1+ C2 X2+ C3 X3 (19) which is subject to the following constraints: 1. Total available area X1+X2+X3? A (20) where X1, X2, and X3 are the decision variables related to the area of individual crops;C1, C2, and C3 are the cost coefficient for each crop in Indian Rupees (1 US $ = 50 INR); and A is the maximum area available for irrigation. 2.Area of each individual crop: 7 14 & 15 February 2009 Kuching, Sarawak The area under each crop is required to be constrained; thus, there are lower and upper bounds on the area under each crop. The lower bounds indicate the minimum area that can be allocated to a crop, while the upper bound indicates the maximum. In the present study, the lower bounds were defined for all the crops except cash crops, while the upper bounds were defined considering the present cropping pattern. The constraints can be expressed as Li? Xi? Mi (21) here Li corresponds to the lower bound of the area for the ith crop and Mi corresponds to the upper bound on the area of the ith crop. 8. Model Application The developed models were applied to the Chiller reservoir system in Madhya Pradesh, India (Latitude 23o23’ N and Longitude 7 6o18’ E). In the central part of India, many reservoir projects have been constructed for irrigation, but no irrigation is available from these reservoirs during the monsoon period (from June to September). The area receives about 90 to 95 % of its rainfall during the Monsoon season. The rainfall then becomes runoff to the reservoirs.These reservoirs are designed to contain the runoff in the monsoon season, but there is no runoff during non-monsoon months. The present formulations are specially suited for these types of reservoirs. Non-monsoon rainfall is rare and provides little runoff. A systematic data base was prepared for the various physical features of the reservoirs, including the meteorological and hydrological data such as evapotransiration, details of crops in the command area, details of net returns from individual crops and soil properties collected from the College of Agriculture, Indore, India. . Results and Discussion Optimum Crop Pattern A separate computer p rogram was run before the real time operation program to determine the optimum crop pattern for all possible storage values. The results of the optimum crop pattern are stated in Table 1. The results indicate that from a storage level of 31. 10 M m3 to a storage level of 26. 06 M m3, the cropping pattern is same as the one that has been adopted in the project formulation. However, below a storage level of 26. 06 M m3, the crop pattern changes suddenly, and wheat (ordinary) is not recommended by the model.The area of wheat (hybrid) also gets reduced when the rainfall storage is below this level. However, the area for Gram is full, up to a storage level of 15. 83 M m3. The change in cropping pattern indicates that efficient water usage is maintained. Table 1 Optimum Cropping Pattern for Different Live Storage Values Area (ha) for different crops Live storage (M m3) Wheat (ordinary) Gram Wheat (hybrid) 4. 3230 342. 910 120. 00 8. 2379 427. 580 500. 00 12. 3246 15. 8632 20. 7581 26. 098 6 28. 8610 30. 1250 31. 1000 300. 0 300. 0 300. 0 300. 0 1084. 015 1100. 000 1100. 00 1100. 000 1100. 000 1100. 000 1100. 000 500. 00 855. 00 1434. 00 1700. 00 1700. 00 1700. 00 1700. 00 Results from Real-Time Operation Model The real-time operation model gives an optimal operating policy for the available storage in the present fortnight considering the future. The model also yields the values of irrigation to be applied to individual crops in the fields. In the wake of deficient water supplies, the model distributes the available water over the time for different crops optimally. The sample results of the present model are stated in Table 2.The available moisture to the crops is not affected, and generally the soil remains at the upper limit of the available soil-moisture. This 8 14th MANCO is because the crop pattern is predicted according to the availability of the storage in the reservoir. The results are indicative of successful application of the real-time operation strategy proposed in the present work. Table 2 Sample Results Showing the Soil Moisture, Available Soil Moisture, Storage, and Irrigation to be applied for Different Crops for a Real-Time Reservoir Operation Model (LP) Live Storage in the Reservoir 31. 1 M m3 FORTNIGHTPARAMETER 1 2 3 4 5 6 7 8 9 10 11 Reservoir Storage (M m3 ) 29. 28 28. 17 26. 30 22. 22 Crop 1) Soil Moisture (mm/cm) 3. 76 3. 89 3. 84 3. 07 2) Available soil Moisture 0. 9 0. 9 0. 9 0. 87 (mm/cm) 3) Applied Irrigation (mm) 53. 62 90. 63 92. 87 36. 04 Crop 1) Soil Moisture (mm/cm 3. 90 3. 07 3. 28 3. 15 2) Available soil Moisture 0. 9 0. 87 0. 9 0. 9 (mm/cm) 3) Applied Irrigation (mm) 68. 76 22. 27 60. 67 41. 59 Crop 1) Soil Moisture (mm/cm — – 4. 00 2) Available soil Moisture —0. 9 (mm/cm) 3) Applied Irrigation (mm) — – 94. 21 19. 68 14. 64 10. 87 Wheat (ordinary) 3. 54 3. 30 3. 22 0. 9 . 9 0. 9 5. 62 4. 24 3. 63 3. 60 3. 17 0. 9 4. 0 0. 9 – -. — — 163. 9 8. 44 23. 02 GR AM 3. 28 3. 66 0. 9 0. 9 19. 94 102. 6 — — 3. 23 0. 9 3. 47 0. 9 — — 37. 64 53. 15 Wheat (hybrid) 3. 06 3. 48 3. 32 0. 86 0. 9 0. 9 0. 00 33. 17 — — 3. 28 0. 9 3. 38 0. 9 3. 18 0. 9 3. 19 0. 9 37. 19 162. 9 0. 00 36. 09 0. 0 3. 4 0. 9 26. 96 127. 9 78. 89 Relative Yield Ratios Relative yield ratios computed for different crops at different live storage values are shown in Table 3. The relative yield ratios for all the crops become one if live storage in the reservoir is equal to or greater than 28. 9 M m3. The GA model is found to be better for application in real world operation of the reservoir. Table 3 Relative Yield Ratio for Different Live Storage Values Computed With a Real-Time Reservoir Operation Model Relative yield ratio for Live different crops storage LP (M m3 ) Wheat Gram Wheat (hybrid) (ordinary) 4. 3230 0. 9677 1. 000 8. 2362 0. 9083 1. 000 12. 3246 0. 9576 1. 000 – 0. 989 1. 000 20. 7581 26. 0986 1. 000 0. 987 0. 987 0 . 911 0. 952 28. 8610 1. 000 0. 987 1. 000 30. 1250 31. 1000 10. – 15. 8632 1. 000 1. 000 1. 000 1. 000 1. 000 1. 000 ConclusionA real-time model using an integrated Linear Programming Model for a reservoir system meant for irrigation has been developed in the present study to obtain an optimal reservoir operating policy that incorporates field level decisions, while also deciding the appropriate time and amount of water to release from the reservoir. 9 14 & 15 February 2009 Kuching, Sarawak From the analysis, the following conclusions can be drawn: The developed model can be successfully applied to irrigation supporting reservoir systems. Furthermore, the models ensure an optimum reservoir release over different time periods.In addition, they also ensure optimum allocation of the available water over the different crops in the fields. While allocating the water to different crops in the fields, the model takes into account the critical growth stages of the crops and allocate s sufficient water to each crop to safeguard it against any ill effects of water deficits. The optimum crop pattern model used in the study will only allow productive irrigation, so the amount of wasted water is reduced. Acknowledgements The authors would like to express sincere thanks to Universiti Sains Malaysia for the financial support of this work.Nomenclature AETi k k Actual evapotranspiration in period k from crop i (mm) APET ARFk Ak and BK Ao d Actually occurring potential evapotranspiration in period k (mm) Actual rainfall value in the fortnight k Constants relating the storage to reservoir evaporation Area of spread at dead storage level Depletion factor EDik Effective root zone depth of a crop i in period k (cm) k +1 i ED Effective root zone depth of a crop i in period k+1 (cm) Eff Fkcik ID Overall efficiency Crop evapotranspiration coefficient Industrial supply from the reservoir (mandatory release) IRRikIrrigation applied to crop i in stage k (mm) k Ky Yield response fa ctors for a crop i in period k PETi k RE RF k Potential evapotranspiration in a particular geographical location (mm) Rate of evaporation in fortnight k k Sk Sk+1 Zf Zw Zww Rainfall in period k (mm) Reservoir storage at the beginning of period k Reservoir storage at the end of period k Field capacity for the soil (mm/cm) Permanent wilting point for the soil (mm/cm) Critical available moisture limit (mm/cm) ? ik ? ik +1 Final soil moisture in a particular time stage k for a particular crop i (mm/cm) Yai Ymi Actual crop yield Maximum crop yieldInitial soil moisture in the time stage k in for a crop i (mm/cm) 10 14th MANCO References 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 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